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244874952 = 233272312239
BaseRepresentation
bin11101001100001…
…11111011001000
3122001202221021200
432212013323020
51000141444302
640144304200
76032255100
oct1646077310
9561687250
10244874952
111162531a3
126a012060
133b969a2a
1424744200
151677081c
hexe987ec8

244874952 has 144 divisors (see below), whose sum is σ = 796723200. Its totient is φ = 67677120.

The previous prime is 244874911. The next prime is 244874969. The reversal of 244874952 is 259478442.

It is a junction number, because it is equal to n+sod(n) for n = 244874898 and 244874907.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108249 + ... + 110487.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2244874952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244874952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

244874952 is an abundant number, since it is smaller than the sum of its proper divisors (551848248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244874952 is a wasteful number, since it uses less digits than its factorization.

244874952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 244874952 is about 15648.4808208337. The cubic root of 244874952 is about 625.6259984987.

The spelling of 244874952 in words is "two hundred forty-four million, eight hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2239 2604 3038 3528 3906 4478 4557 5208 6076 6717 7812 8956 9114 12152 13434 13671 15624 15673 17912 18228 20151 26868 27342 31346 36456 40302 47019 53736 54684 62692 69409 80604 94038 109368 109711 125384 138818 141057 161208 188076 208227 219422 277636 282114 329133 376152 416454 438844 485863 555272 564228 624681 658266 832908 877688 971726 987399 1128456 1249362 1316532 1457589 1665816 1943452 1974798 2498724 2633064 2915178 3401041 3886904 3949596 4372767 4997448 5830356 6802082 7899192 8745534 10203123 11660712 13604164 17491068 20406246 27208328 30609369 34982136 40812492 61218738 81624984 122437476 244874952